Part 4:Suppose that 53 of the 55 Computer Science students of SanSebastian College, Manila are taking at least one of themathematics subjects Algebra, Trigonometry and Calculus. Seethe figure below for more details:24 taking Algebra,26 taking Trigonometry,20 taking Calculus,5 taking Algebra and Trigonometry,7 taking Algebra and Calculus,8 taking Trigonometry and Calculus.a. Find the number of students who are taking all three mäthematics subjects.b. Fill in the correct number of students in each of the eight regions of the Venn diagram.c. Determine the number of students who are not taking any of the three mathematics subjects?d. How many students are taking Algebra as their only mathematics subject?e. How many students were taking Calculus and Trigonometry but not Algebra?

Venn diagrams are the diagrams that are used to represent the sets, relation between the sets and…

a. Find the number of students who are taking all three mathematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?

a. Find the number of students who are taking all three mathematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Part 4:
Suppose that 53 of the 55 Computer Science students of San
Sebastian College, Manila are taking at least one of the
mathematics subjects Algebra, Trigonometry and Calculus. See
the figure below for more details:
24 taking Algebra,
26 taking Trigonometry,
20 taking Calculus,
5 taking Algebra and Trigonometry,
7 taking Algebra and Calculus,
8 taking Trigonometry and Calculus.
a. Find the number of students who are taking all three mäthematics subjects.
b. Fill in the correct number of students in each of the eight regions of the Venn diagram.
c. Determine the number of students who are not taking any of the three mathematics subjects?
d. How many students are taking Algebra as their only mathematics subject?
e. How many students were taking Calculus and Trigonometry but not Algebra?

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